397344 has 24 divisors (see below), whose sum is σ = 1043280. Its totient is φ = 132416.

The previous prime is 397337. The next prime is 397351. The reversal of 397344 is 443793.

It is an interprime number because it is at equal distance from previous prime (397337) and next prime (397351).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397344.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1974 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2³⁹⁷³⁴⁴ is an apocalyptic number.

It is an amenable number.

397344 is an abundant number, since it is smaller than the sum of its proper divisors (645936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

397344 is a wasteful number, since it uses less digits than its factorization.

397344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4144 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 397344 is about 630.3522824580. The cubic root of 397344 is about 73.5171878911.

It can be divided in two parts, 397 and 344, that added together give a triangular number (741 = T₃₈).

The spelling of 397344 in words is "three hundred ninety-seven thousand, three hundred forty-four".